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Learning Latent Permutations with Gumbel-Sinkhorn Networks

ICLR 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Latent variable marginalization and estimators · 148 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Sinkhorn Networks instead of the recurrent sorting baselineNumber sorting · U(0,1), N=15Prop. any wrong: 0.9 -> .0Helped
Use Sinkhorn Networks for larger sorting inputsNumber sorting · U(0,1), N=120Prop. any wrong: .01Helped
Use the proposed two-layer Sinkhorn network rather than DeepPermNetImageNet jigsaw · 3x3Kendall tau: .72 -> .73Helped
Use Gumbel-Sinkhorn rather than the rounding baselineC. elegans neural identification · 10% known neurons, Hardaccuracy: .21 -> .26Helped
Use Gumbel-Sinkhorn rather than MCMCC. elegans neural identification · 40% known neurons, Easyaccuracy: .85 -> .97Helped
Use an extreme low temperature, tau=0.01 (ablation)Sinkhorn Network · Celeba jigsaw 5x5Kendall tau: .78 -> .62Hurt
Use an extreme high temperature, tau=100 (ablation)Sinkhorn Network · Celeba jigsaw 5x5Kendall tau: .78 -> .47Hurt
Use one Sinkhorn iteration instead of the standard iterations (ablation)Sinkhorn Network · Celeba jigsaw 5x5Kendall tau: .78 -> .72Hurt
Add regularization (ablation)Gumbel-Sinkhorn · C. elegans, 40% known neurons, Hardaccuracy: .93 -> .96Helped
Add regularization (ablation)Gumbel-Sinkhorn · C. elegans, 10% known neurons, Hardaccuracy: .23 -> .26Helped

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